Correct Answer - Option 3 : Energy and angular momentum
CONCEPT:
Bohr's Atomic Model:
- Bohr proposed a model for hydrogen atom which is also applicable for some lighter atoms in which a single electron revolves around a stationary nucleus of positive charge Ze (called hydrogen-like atom).
Bohr's model is based on the following postulates:
- He postulated that an electron in an atom can move around the nucleus in certain circular stable orbits without emitting radiations.
- Bohr found that the magnitude of the electron's angular momentum is quantized i.e.
\(\Rightarrow L = m{v_n}\;{r_n} = n\left( {\frac{h}{{2\pi }}} \right)\)
Where n = 1, 2, 3, ..... each value of n corresponds to a permitted value of the orbit radius, rn = Radius of nth orbit, vn = corresponding speed, and h = Planck's constant
EXPLANATION:
- Bohr’s model described angular momentum and according to Bohr's second postulate the magnitude of the electron's angular momentum is quantized i.e
\(\Rightarrow L = mvr = \frac{{nh}}{{2\pi }}\)
- According to Bohr's atomic model, the total energy of the electron in the nth orbit is given as,
\(\Rightarrow E_n=-13.6\frac{Z^2}{n^2}\)
- In Bohr’s model of hydrogen atom, both the energy and angular momentum are quantized.
